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Lucknow Shatabdi Express has a capacity of 500 seats of which 10% are in the Executive class and the rest are chair cars. During one journey, the train was booked to 85% of its capacity. If the Executive class was booked to 96% of its capacity, then how many chair car seats were empty during that journey?
  • a)
    78
  • b)
    73
  • c)
    72
  • d)
    76
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Lucknow Shatabdi Express has a capacity of 500 seats of which 10% are ...
Seats in executive class = 10% of 500 = 50
So, seats in chair car = 500 - 50 = 450
Total booked seats = 85% of 500 = 425
Seats booked in executive class = 96% of 50 = 48
Therefore, seats booked in chair car = 425 - 48 = 377
Empty seats in chair car = 450 - 377 = 73
Thus, option (b) is correct.
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Most Upvoted Answer
Lucknow Shatabdi Express has a capacity of 500 seats of which 10% are ...
Understanding the problem:
The Lucknow Shatabdi Express has a total capacity of 500 seats. Out of these, 10% are in the Executive class and the remaining seats are in the chair cars. During one journey, the train was booked to 85% of its capacity. It is given that the Executive class was booked to 96% of its capacity. We need to find the number of chair car seats that were empty during that journey.

Solution:
Let's solve the problem step by step:

Step 1: Calculate the number of seats in the Executive class:
Given that 10% of the total seats are in the Executive class, we can calculate the number of seats in the Executive class as follows:
Number of seats in the Executive class = 10% of 500 = (10/100) * 500 = 50

Step 2: Calculate the number of seats in the chair cars:
Since the total capacity of the train is 500 seats and the number of seats in the Executive class is 50, we can calculate the number of seats in the chair cars as follows:
Number of seats in the chair cars = Total capacity - Number of seats in the Executive class = 500 - 50 = 450

Step 3: Calculate the number of seats booked in the Executive class:
Given that the Executive class was booked to 96% of its capacity, we can calculate the number of seats booked in the Executive class as follows:
Number of seats booked in the Executive class = 96% of 50 = (96/100) * 50 = 48

Step 4: Calculate the number of seats booked in the chair cars:
Since the total capacity of the train is 500 and the number of seats booked in the Executive class is 48, we can calculate the number of seats booked in the chair cars as follows:
Number of seats booked in the chair cars = Total seats booked - Number of seats booked in the Executive class = 85% of 500 - 48 = (85/100) * 500 - 48 = 425 - 48 = 377

Step 5: Calculate the number of empty seats in the chair cars:
Since the number of seats in the chair cars is 450 and the number of seats booked in the chair cars is 377, we can calculate the number of empty seats in the chair cars as follows:
Number of empty seats in the chair cars = Number of seats in the chair cars - Number of seats booked in the chair cars = 450 - 377 = 73

Therefore, the number of chair car seats that were empty during that journey is 73. Hence, the correct answer is option B.
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Lucknow Shatabdi Express has a capacity of 500 seats of which 10% are in the Executive class and the rest are chair cars. During one journey, the train was booked to 85% of its capacity. If the Executive class was booked to 96% of its capacity, then how many chair car seats were empty during that journey?a)78b)73c)72d)76Correct answer is option 'B'. Can you explain this answer?
Question Description
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